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100 POINTS NEED ANSWER ASAP
Determine if each set of numbers can be the lengths of the sides of a right triangle.
Select the correct text in the table.

100 POINTS NEED ANSWER ASAP Determine if each set of numbers can be the lengths of the sides of a right triangle Select the correct text in the table class=

Respuesta :

Answer:

  1. Yes
  2. No
  3. Yes
  4. No
  5. Yes

Step-by-step explanation:

If three numbers are part of a Pythagorean Triplet, then the condition to be followed is :

  • a² + b² = c²

Evaluating each set :

#1 : 5, 12, 13

  • 5² + 12² = 13²
  • 25 + 144 = 169
  • 169 = 169
  • Yes √

#2 : 12, 35, 20√3

  • 12² + 35² = (20√3)²
  • 144 + 1225 = 400(3)
  • 1369 ≠ 1200
  • No ×

#3 : 5, 10, 5√5

  • 5² + 10² = (5√5)²
  • 25 + 100 = 25(5)
  • 125 = 125
  • Yes √

#4 : 8, 12, 15

  • 8² + 12² = 15²
  • 64 + 144 = 225
  • 208 ≠ 225
  • No ×

#5 : 20, 99, 101

  • 20² + 99² = 101²
  • 400 + 9801 = 10201
  • 10201 = 10201
  • Yes √
ashishdwivedilVT

The  Answer is Yes, No, Yes, No and Yes.

To find the Pythagorean triplet is true/not.

What is Pythagorean triplet ?

Pythagorean triplet are a² + b² = c² where a, b and c are the three positive integers.

Given that:

It is given that set of numbers can be the lengths of the sides of a right triangle.

Evaluating each set :

#1 :

5, 12, 13

5² + 12² = 13²

25 + 144 = 169

169 = 169

Yes √

#2 :

12, 35, 20

12² + 35² = (20√3)²

144 + 1225 = 400*3

1369 ≠ 1200

No ×

#3 :

5, 10, 5√5

5² + 10² = (5√5)²

25 + 100 = 25(5)

125 = 125

Yes √

#4 :

8, 12, 15

8² + 12² = 15²

64 + 144 = 225

208 ≠ 225

No ×

#5 :

20, 99, 101

20² + 99² = 101²

400 + 9801 = 10201

10201 = 10201

Yes √

So, the answer is Yes, No, Yes, No and Yes.

Learn more about Pythagorean triplet here:

https://brainly.com/question/27759741

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